Additive results for the generalized Drazin inverse

Dragan S. Djordjević, Yimin Wei
2002 Journal of the Australian Mathematical Society  
Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if A d denotes the generalized Drazin inverse of a bounded linear operator A on an arbitrary complex Banach space, then in some special cases (A + B) d is computed in terms of A d and B d . Thus, recent results of Hartwig, Wang and Wei (Linear Algebra Appl. 322 (2001), 207-217) are extended to infinite dimensional settings with simplified proofs. 2000 Mathematics subject
more » ... cs subject classification: primary 47A05,47A55, 15A09.
doi:10.1017/s1446788700008508 fatcat:yvakwxo7jzdyrakvpmhgz3mw7e